Find the total length of the cardioid r= a(1+cos 6) O a. 4a O b. 8a O c. 2a O d. a O e. 16a

Q: Find the area of the cardioid r=2(1+cosθ). a. 2π b. 4π c. 5π d. 6π e. none of the above

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Q: Find G (u), the antiderivative of g(u) = cos² u sin u du

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Q: tind the Value of d that makes the systom has (2) uniqe Sdubion. 3X-2y= (b) No . Solation X+Xy = 2…

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Q: EX/find the arc lenyin of the Cardioid v=1+Cose (Sketch the reyion)

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Q: find area Inside the oval limaçon r = 4 + 2 cos 0 Inside the cardioid r Inside one leaf of the…

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Q: The area of the region inside the circle r= 6 cos e and outside the cardioid r= 2(1+ cos 6), a > 0…

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Q: The area common to the circle > = 3 and the cardioid r = 3(1 - cos 9).

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Q: Consider the following cylinder in R° and complete parts a. and b. below. y - 3 In z = 0 a. Identify…

A: The given function is, y-3lnz=0y=3lnz

Q: the area outside r = 1 and inside r = 2 cos 0 is

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Q: The approximation of the integral I = dx using the two points Gaussian quadrature formula is: O…

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Q: The common area between the cardioid r = 1+ cose and the circle r = 3cose is: Select one: (1+ cose)?…

A: For cardioid  θ=0,   r=1+1=2 θ=π2,    r=1+0=1

Q: Let C be the unit square with diagonal corners at -1 – i and 1+i. Evaluate O f(z) dz, where f(z) is…

A: Let C be the unit square with diagonal corners at -1-i and 1+i.Evaluate∮Cfzdz,where fz is given by…

Q: Find the areas of the regions . 1. Inside the oval limaçon r = 4 + 2 cos u 2. Inside the cardioid r…

A: Replace the variable u with θ The area inside the oval limaçon is given as, Where, a=0 and b=2π…

Q: Find the area inside of the cardioid r = 4(1 + cos(4)) and outside of the circle r cos(4). d) e) 49n…

A: Area under polar curve.

Q: ) Each of these in tegrals represents voleume ofa sdid. Describe the solid: (Sinx dx (b) a…

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Q: - T If the area outside the cardioid r = 6 – 6 sin 0 and inside the circle r = 6 is A - , then what…

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Q: Find the length of the cardioid r= 4 – 4 cos 0. The length of the cardioid is

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Q: In ADEF, C is the centroid. E If DM = 39, find DC and CM DC = units CM = units

A: Centroid cuts the line segments through it in the ratio 2:1  Where Larger part is that from the…

Q: nd the area inside of the cardioid r = 1+ cos(0) and outside of the circle r = cos(0) 57 b). c)T 2…

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Q: Find the angle at which the cardioid r = a(1 – cos 0) crosses the ray 0 3D п/2.

A: To find the angel at which the below cardioid crosses the ray θ=π/2

Q: In ADEF, C is the centroid. E If CM = 19, find DC and DM. DC = units DM = units

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Q: Fird the Aren of the Reyion c2-9 cos In teriur of (2€)

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Q: Consider the following figure. D F OC = 8 and OE = 4 OE I CD in 00 Given: %3D Find: CD CD =

A: Answer

Q: te following figure, Find the volumes of the solids Maer S/4 3D3 cos 0

A: Consider the equation as shown below: Here, z = -y and r = 3cosθ Object is to find the volume of the…

Q: Find the area and points of the intersection of the regions enclosed by the r = 2 and r = 3 − 2…

A: We have to find the area and points of the intersection of the regions enclosed by the r = 2 and r =…

Q: Noting that C1: r=cos0+1 and C2: r=2cos0, let R be the shaded area.

A: Given C1r=cosθ+1C2r=2cosθ

Q: 1. Find the area of the region inside the oval limacon r=4+2cos0 2. Find the area of the region…

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Q: The area A of a triangle with sides of lengths a and b enclosing an angle of measure u is A =  ab…

A: (a) Obtain the required relation as follows.

Q: Given: R(t) = (cos t + t sin t) î + (sin t – t cos t) ĵ + t²k^ , t 2 o What is the total distance…

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Q: Given y = cos(3x), find O O 3 2- * N O √3 3√3 dy at x = 5

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Q: 1. Identify the secant that intersects OA. B D A a. 1 b. DC с. ВС d. DA

A: Secant: a secant is a line segment on the circle such that the line segment touches exactly 2 points…

Q: 4. Given AB is tangent to OP, AB = 12 and CB = 8. %3D a) Find the area of APAB. b) Find mLAPB (round…

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Q: T/2 COS z xp V4 - sin? a

A: givenI=∫0π2cosx4-sin2xdxsubstitute  sinx=t therefore limits will change t=sinπ2=1  to t=sin0=0after…

Q: Find the area shared by the cardioids r = 4(1+ sin(0)) and r = 4(1 – sin(@)) !3! A) 8(37 - 8) B)…

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Q: Find the area inside of the cardioid r = 3(1+ cos(4)) and outside of the circle r = cos(4). a)13m b)…

A: Given problem is :

Q: DG DH Given: DE ZDGH = LE DF Prove:

A: Consider the figure with given: DGDE=DHHF. Prove: ∠DGH≅∠E Consider △DEF. Apply theorem- If a line…

Q: Calculate the length of the side XY given the following data for 29: Sin 29 = 0.485 Cos 29 = 0.875…

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Q: c. Use De Moivre's theorem to find the following: 4 i. [1+ v3i]*

A: Dear learner, As per our guidelines, we can provide the solution for first one only. Kindly post…

Q: Consider the following cylinder in R. x? + z? = 1 a. Identify the coordinate axis to which the…

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Q: Find the area of the specified region. Shared by the circles r = 8 cos(e) and r = 8 sin(8) %3D A)…

A: Given :   r = 8 cos ( θ )   r = 8 sin (  θ )

Q: Find the area of the cardioid r = 2(1+ cos 0). Α. 2π В. 47 С. D. 67 E. none of the above

A: Given r= 2.(1+cos@) To find area of cardioid

Q: What is the area inside the cardioid r= 2(1+ cos(4)), outside the circle r = cos(4)? 23л 11T 217 a)…

A: According to the given information, it is required to find the area inside the cardioid.

Q: Let w = x*y cos(42). Find the following. (a) (x, y, z) = %3D (b) (x, y, z) = ду (c) (x, y, z) = dz

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Q: Find C if r(t) = ⟨et, 3 cos t, t + 10⟩ + C and r(0) = ⟨0, 0, 0⟩.

A: We have given function r(t)   r(t) = ⟨et, 3 cos t, t+10⟩ +C   We have to find the value of C   It…

Q: (1) Find the area of the hypocycloid F (t) = (cos³ (t), sin® (t)), te [0, 27].

A: Given The given hypocycloid is r¯=cos3t,sin3t, t∈0,2π. Apply formula A=∫D∫dA=∫Cx dy+0 dx=∫Cx dy

Q: Let u, = 5" cos" xcos nx dx. It turns out that u,u, u,. form a GP. Find %3D (a) the ratio of the GP.…

A: We need to find value of un fir different values of n and then find series representing u1 , u2 , u3…

Q: Find the area of the region shared by the cardioids r= 12(1 + cos 0) and r= 12(1 – cos 0). The area…

A: Given: r=12(1-cosθ) r=121+cosθ

Q: (a) Evaluate O ezz C cos(TZ) where c is z = 1

A: The objective is to evaluate ∮Cez2cosπz where C is z=1 Singularity of ez2cosπz are,…

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.